10/139 added to 140/4 in Fraction Form

The result of 10/139 added to 140/4 is: 35 10/139

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10139 and 1404.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 139 and 4 is 556.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10139 to 40556
Convert 1404 to 19460556

Step 4: Add the Numerators

Add the numerators: 40 + 19460 = 19500

Step 5: Simplify the Fraction

We can simplify 19500556 to its lowest form.
The greatest common divisor (GCD) of 19500 and 556 is 4.
Dividing both numerator and denominator by the GCD, we get 4875139.

Step 6: Convert to Mixed Number

The fraction 4875139 can be written as the mixed number 3510139.

Final Answer

The result of 10/139 added to 140/4 is:

10139+1404=3510139

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

Fraction Calculator

Calculate operations between any two fractions: